72225777120 has 192 divisors, whose sum is σ = 266355081216. Its totient is φ = 16106065920.

The previous prime is 72225777119. The next prime is 72225777121. The reversal of 72225777120 is 2177752227.

It is an interprime number because it is at equal distance from previous prime (72225777119) and next prime (72225777121).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225777121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124384 + ... + 399903.

It is an arithmetic number, because the mean of its divisors is an integer number (1387266048).

Almost surely, 2^72225777120 is an apocalyptic number.

72225777120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72225777120 is an abundant number, since it is smaller than the sum of its proper divisors (194129304096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72225777120 is a wasteful number, since it uses less digits than its factorization.

72225777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524353 (or 524345 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 42.

The spelling of 72225777120 in words is "seventy-two billion, two hundred twenty-five million, seven hundred seventy-seven thousand, one hundred twenty".